Numerical analysis A branch of mathematics/computer science dealing with the study of algorithms for the numerical solution of problems formulated and studied in other branches of mathematics. Numerical Analysis is an applied mathematics technique that allows staggeringly large amounts of data to be processed and analyzed for trends, thereby aiding in forming conclusions. They are providing massive increases in the speed and usefulness of calculations. The tasks of numerical analysis. The tasks of numerical analysis, First specialised in mathematical methods of analysis include the development of fast and reliable numerical methods together with the provision of a suitable error analysis and is concerned with all aspects of the numerical solution of a problem, from the theoretical development and understanding of numerical methods to their practical implementation as reliable and efficient computer programs. Second, computer science numerical analysis software is being embedded in popular software packages, e.g., spreadsheet programs, allowing many people to perform modelling even when they are unaware of the mathematics involved in the process. This requires creating reliable, efficient, and accurate numerical analysis software; and it requires designing problem-solving environments (PSE) in which it is relatively easy to model a given situation. The overall goal of the field of numerical analysis is the design and analysis of techniques to give approximate but accurate solutions to hard problems, The broad objectives are to learn about the existence and uniqueness criteria for numerical methods and to learn about convergent criteria. The specific objectives of the course are the student should be able to the variety of theorems and mathematical applications which they suggested in the following statements to Find numerical approximations to the roots of an equation by Newton method, Secant Method. Polynomial Apply Taylor and Maclaurian Series to mathematical problems. Use finite differences Interpolations (Newton forward and Newton backwards) and Lagrange Interpolation. MATLAB provides many routines for standard tasks in computing, ranging from elementary math operations, over linear algebra, statistics and random numbers, interpolation, optimization, Fourier analysis and filtering, and sparse matrix computation, to computational geometry. MATLAB provides many routines for standard tasks in computing, ranging from elementary math operations, over linear algebra, statistics and random numbers, interpolation, optimization, Fourier analysis and filtering, and sparse matrix computation, to computational geometry. More information can be found, as always, in the MATLAB documentation More information can be found, as always, and, the number of software packages, are predominant among these in the academic environment, and versions of these software packages are available for most common computer systems. The text now assumes that the student is using MATLAB for computations
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